Step-by-step explanation:
this is a strange rental company charging no daily fees.
but ok.
so, we have a fixed part of the cost : $24
we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.
and then we pay $0.35 for every mile driven.
that makes our function
C(x) = 0.35x + 24
and if we drive 40 miles, that makes x = 40.
C(24) = 0.35×40 + 24 = 14 + 24 = $38
it would cost us $38.
PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?
Answer:
D
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = - 3 , then
[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D
A taxi ride cost $2 for the first 1/5 of a km and 40 cents for each additional fifth of a km. Dan has $9.60. What is the longest taxi ride he can afford, in kilometres?
Answer:
4 kilometers
Step-by-step explanation:
First! Let's create an equation, with our variable (x) representing the number of additional fifth kilometers Dan can afford.
2 + 0.40x = 9.60
Now, we have to solve for our x value by subtracting 2 from both sides.
0.40x = 7.60
Next, we can divide both sides by 0.40 to find out what our x value is equal too.
x = 19
Don't forget this x value is just for the number of additional fifth kilometers Dan can afford on top of his first fifth mile.
So! Dan can afford 20 fifth kilometers, which in turn in is 4 kilometers in total.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Also with explanation
PLz, Help fast! 100 points
A line is drawn on a scatter plot, as shown below:
A graph shows values till 10 on both x- and y axis with increments of 1.Dots are shown at 0.5, 7.5 and 1.8, 6.5 and 3, 6 and 4.4, 5 and 4.8, 4 and 5.9, 3.2 and 6.6, 2 and 7.5, 2.5 and 8, 1 and 8.8, 0. A straight line joins the ordered pairs 0, 7.9 and 10, 0.
Which statement best describes the line?
Answer:
It can be the line of best fit because it closely fits the data points.
Step-by-step explanation:
The line is near the data points and goes down from left to right just like the data points. It is just above or just below the data points.
Answer:
guy above is right
Step-by-step explanation:
Find the length of y. Assume the triangles are similar.\
A. 3.6
B. 3.2
C. 3.9
D. 3.4
6,3:y=4,2:2,4
y=3,6
Chọn a
A pair of parallel lines is cut by a transversal: 15 degrees and 80 degrees are the lines What is the measure of angle x?
60 degrees
65 degrees
70 degrees
80 degrees
Step-by-step explanation:
=80°-15°=65°please mark this answer as brainlist
Graph
y = 3x^2.
Please thanks
Answer:
The image of the graph is below.
Step-by-step explanation:
The scatter plot below shows the relationship between years of education and income for a representative sample of adults.
Which of the following is the best estimate of the average change in a person's income that is associated with going to school for an additional year?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
$
1
$1dollar sign, 1
(Choice B)
B
$
2
$2dollar sign, 2
(Choice C)
C
$
3000
$3000dollar sign, 3000
(Choice D)
D
$
7000
$7000dollar sign, 7000
2
2
4
4
6
6
8
8
10
10
12
12
14
14
16
16
18
18
20
20
22
22
24
24
20000
20000
40000
40000
60000
60000
80000
80000Annual income (dollars)Years of education
Answer:
A
Step-by-step explanation:
khan
Green Forest Park’s walking trail is 3.218 km. long. Blue Lake Park's walking trail is 2.414 km. long. How much longer is Green Forest Park’s trail than Blue Lake Park’s trail? GIVING 20 POINTS
Answer:
0.804
Step-by-step explanation:
Subtract 3.218 by 2.414
What is the greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case?
The greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case is 8
what is the answer?
Answer:
3,6
Step-by-step explanation:
6. An integer Pis two thirds of another and their difference is 10. Find the two integers. an integer p is 2/3 of another and their difference is 10 find the two integers
Answer:
20, 30
Step-by-step explanation:
let the intergers be x and y
x = 2/3y
from this eqn, we know that y is larger.
hence, y-x=10
y-2/3y=10
1/3y=10
y=30
x=2/3y =2/3(30) = 20
what is the answer the / is division/divided? t+d/8-6
Answer:
t+d/2
Step-by-step explanation:
10 Adoya deposited sh 4000 for 2 years in a bank which paid 122% p.a. simple interest. What interest did he get after two years?
a student takes a rectangular piece of paper 30 cm long and 21 cm wide find the area of the biggest circle that can be cut out from the paper also find the area of the paper left after cutting out the circle
Answer:
Step-by-step explanation:
diameter of the circle=smallest of the length and width=21 cm
r=21/2
area of the circle=πr²=22/7 ×(21/2)²=(21×441)/(7×4)=1323/4=330.75 cm²
Find the real solution(s) of the following equation.
98 =
= 729
Choose all answers that apply:
A
8= 7
B
8= -7
8=9
D
8= -9
None of the above
Answer:
a=9
Step-by-step explanation:
a^3 = 729
Taking the cube root of each side
a^3 ^(1/3) = 729^ (1/3)
a = 9
When investing money in a bank account, in which situation will you have the most money in your account at the end of three years?
Compounded semiannually
Compounded yearly
Compounded quarterly
Compounded monthly
Answer:
continuously is the most, and what is actually done at the banks...
as for your answer:
Compounded monthly
Step-by-step explanation:
When investing money in a bank account, you will have the most money in your account at the end of three years when compounded monthly.
What is compound interest?Compound interest is the interest you earn on interest.
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
Where,
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
To check in which situation we will earn the most money in end of three years, we calculate the final amount in each situation keeping other variables constant.
Let
P = 5000
r = 5%
t = 3 years
When compounded annually,
[tex]A = 5000(1 + 0.05)^{3} = 5788.125[/tex]
When compounded semiannually,
[tex]A = 5000(1 + 0.025)^{6} = 5798.467[/tex]
When compounded quarterly,
[tex]A = 5000(1 + 0.0125)^{12} = 5803.772[/tex]
When compounded monthly,
[tex]A = 5000(1 + 0.0125)^{12} = 5807.361[/tex]
Thus, it can be said that you have the most money in your account at the end of three years when compounded monthly.
Learn more about compound interest here
https://brainly.com/question/14295570
#SPJ2
Arc measurement with equations
Answer:
thats the question?
Step-by-step explanation:
I need help PLZ thanks for your help
Image below
Answer:
3x - 14 = x + 30
[ Opposite angles of a ||gm are equal ]
=> 3x - x = 30+14
=> 2x = 44
=> x = 22
Therefore , option 4 is correct
hope that helps ✌
If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)( ) = . The check of the polynomial division problem shows that the product of two polynomials is a polynomial. This supports the fact that the property is satisfied for polynomial multiplication.
Answer:
[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]
Step-by-step explanation:
Given
[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]
[tex](x + 7) * (\ ) = [\ ][/tex]
Required
Complete the blanks
We have:
[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]
Rewrite as:
[tex]\frac{(3x^2 + 22x + 7) }{ (x + 7)} = 3x + 1[/tex]
Cross multiply
[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]
Answer:
Answer B, C, C
find the value of 2 raise the power negative 6
Answer:
1 /64
Step-by-step explanation:
2^-6
We know that a^-b = 1/a^b
1 / 2^6
1/64
in the afternoon the temperature was 52 degrees. a strong arctic cold front caused the temperature tio drop 38 degrees in 4 3/4 hours. if the temperature continues to drop at thre same rate what will the temperature be after 2 hours?
Answer:
5.9
Step-by-step explanation:
14 degrees dropped in 4 3/4, in one hour 56/19 degrees will drop. In two hours, 112/19=5.9 degrees will drop
Find the lateral area of this square
based pyramid.
10 in
Sin
[ ? Jin?
Perimeter:-4a
[tex]\\ \large\sf\longmapsto 4(5)=20in[/tex]
Height=10in[tex]\boxed{\sf LSA=Height\times Perimeter}[/tex]
[tex]\\ \large\sf\longmapsto LSA=10\times 20[/tex]
[tex]\\ \large\sf\longmapsto LSA=200in^2[/tex]
please help me i will give 20 points for this question
Answer:
1. a. 2
b. -½
c. y - 3 = -½(x - 8) => point-slope form
y = -½x + 7 => slope-intercept form
2. a. -1
b. 1
c. y - 5 = 1(x - 3) => point-slope form
y = x + 2 => slope-intercept form
Step-by-step explanation:
1. (8, 3) and (10, 7):
a. The gradient for the line joining the points:
Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (8, 3) = (x_1, y_1) [/tex]
[tex] (10, 7) = (x_2, y_2) [/tex]
Plug in the values
Gradient = [tex] \frac{7 - 3}{10 - 8} [/tex]
Gradient = [tex] \frac{4}{2} [/tex]
Gradient = 2
b. The gradient of the line perpendicular to this line = the negative reciprocal of 2
Negative reciprocal of 2 = -½
c. The equation of perpendicular line if it passes through the first point, (8, 3):
Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).
Where,
(a, b) = (8, 3)
Slope (m) = -½
Substitute (a, b) = (8, 3), and m = -½ into the point-slope equation, y - b = m(x - a).
Thus:
y - 3 = -½(x - 8) => point-slope form
We cam also express the equation of the perpendicular line in slope-intercept form by rewriting y - 3 = -½(x - 8) in the form of y = mx + b:
Thus:
y - 3 = -½(x - 8)
y - 3 = -½x + 4
y - 3 + 3 = -½x + 4 + 3
y = -½x + 7
2. (3, 5) and (4, 4):
a. The gradient for the line joining the points:
Gradient = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (3, 5) = (x_1, y_1) [/tex]
[tex] (4, 4) = (x_2, y_2) [/tex]
Plug in the values
Gradient = [tex] \frac{4 - 5}{4 - 3} [/tex]
Gradient = [tex] \frac{-1}{1} [/tex]
Gradient = -1
b. The gradient of the line perpendicular to this line = the negative reciprocal of -1
Negative reciprocal of -1 = 1
c. The equation of perpendicular line if it passes through the first point, (3, 5):
Equation of the perpendicular line in point-slope form can be expressed as y - b = m(x - a).
Where,
(a, b) = (3, 5)
Slope (m) = 1
Substitute (a, b) = (3, 5), and m = 1 into the point-slope equation, y - b = m(x - a).
Thus:
y - 5 = 1(x - 3) => point-slope form
We can also express the equation of the perpendicular line in slope-intercept form by rewriting y - 5 = 1(x - 3) in the form of y = mx + b:
Thus:
y - 5 = 1(x - 3)
y - 5 = x - 3
y - 5 + 5 = x - 3 + 5
y = x + 2
PLEASE HELP ASAP!!!!!Sunny earns $22.75 per week delivering newspapers. He worked as a delivery boy for 3 weeks. He also earned $32.75 last
month doing chores around the house. He spent $14.25 of his total earnings to download music on his mobile device. Sunny put
of the remaining money in his savings account. Sunny used the following steps to find the total money he put in his savings
5
account:
Step 1: [($22.75 + 3) + $32.75 - $14.25)
5
Step 2: [$44.25)
Step 3: $11.0625
In which step did Sunny first make an error? Use words to explain how Sunny can correct his error.
Answer:
error in step one
Step-by-step explanation:
Sunny earns $22.75 per week delivering. delivery boy for 3 weeks.
That means $22.75 x 3 not $22.75 + 3
He can correct his mistake by doing this:
Step 1: [($22.75 * 3) + $32.75 - $14.25] * 1/ 5
Step 2: [$86.75] *1/5
Step 3: $17.35
Answer:
putting this so the other might be brainliest!
Step-by-step explanation:
also, be extremely careful, you put the link for your school and your teachers name on the top of the photo! sorry if i sound creepy lol, but yeah :)
Can anyone help me with this it’s question 2 help please
Answer: 2x³ + 2x² + 36
Working:
= (2x + 6) × (x² - 2x + 6)
= 2x³ - 4x² + 12x + 6x² - 12x + 36
= 2x³ -4x² + 6x² +12x -12x +36
= 2x³ + 2x² + 36
Answered by Gauthmath must click thanks and mark brainliest
If A = 2m + 1 and B 2m2 - 1 + 8m, find an expression that
equals 3 A + B in standard form.
Please help
Answer:
2m² + 14m + 2
Step-by-step explanation:
3A + B
= 3(2m + 1) + 2m² - 1 + 8m ← distribute parenthesis by 3
= 6m + 3 + 2m² - 1 + 8m ← collect like terms
= 2m² + 14m + 2 ← in standard form
Find the surface area of the figure.
12 in.
SA = [ ? ]in.?
5 in.
16 in.
Answer:
SA = 664 in.²
Step-by-step explanation:
Surface area of the rectangular prism = 2(LW + LH + WH)
Where,
Length (L) = 16 in.
Width (W) = 5 in.
Height (H) = 12 in.
Substitute the values
Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)
= 2(80 + 192 + 60)
= 2(332)
= 664 in.²
Simplify the following
Answer:625/16 or 39,0625
Step-by-step explanation:
=5*5/2*5÷2*3/5*3
=160/64÷8/125
=625/16 or 39,0625
Answer:
Alternate form is 1525.87891
Natalie bought 8 toys for $50. Which of the following has the same price per toy?
Answer:
The price per toy is $6.25.
Step-by-step explanation:
The price per toy is calculated by dividing the cost of all toys by the number of toys.
$50/8 = $6.25
The price per toy is $6.25.
